Symplectic and antiplectic waves in an array of beating cilia attached to a closed body

By taking into account the hydrodynamic interactions in a one dimensional array of model cilia attached to a no-slip cylinderical surface, we investigate their synchronized motion. We show, how does the emergence of metachronal waves depend on the initial state of the system and investigate the conditions under which, the formation of symplectic and antiplectic waves are possible.